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pogonyaev
4 years ago
15

Suppose there are two types of persons: high-ability and low-ability. A particular diploma costs a high-ability person $10,000 a

nd costs a low-ability person $18,000. Firms wish to use education as a screening device where they intend to pay $35,000 to workers without a diploma and $K to those with a diploma. In what range must K be to make this an effective screening device?
Mathematics
1 answer:
tekilochka [14]4 years ago
8 0

Answer:

K must be in range <u>$45000 ≤ k ≤ $53000 </u>to make this an effective screening device.

Step-by-step explanation:

In order for the screening device to be effective, the range of k must be such that, it is more than the pay of a worker without diploma. The extra amount must at least be equal to the cost of diploma

So the value of k must be in range from (35000 + 10000) to (35000 + 18000)

Hence,

<u>$45000 ≤ k ≤ $53000</u>

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S = number of striped = 8

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probability of picking green = P(G) = G/T = 7/25

probability of picking striped = P(S) = S/T = 8/25

P(green and striped) = P(G)*P(S)  ... events are independent

P(green and striped) = (7/25)*(8/25)

P(green and striped) = (7*8)/(25*25)

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P(green and striped) = 0.0896

--------------------------------

In summary, the answer as a fraction is 56/625

In decimal form, the answer is 0.0896

The value 0.0896 can be converted to percent form to get 8.96%

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